Finding the Third Proportional to 34,584 and 70,128

Step by Step Solution

1. Step 1: Write the proportion equation
   34,584 : 70,128 = 70,128 : x
2. Step 2: Convert to fraction form
   34,584/70,128 = 70,128/x
3. Step 3: Cross multiply
   34,584x = 70,128 × 70,128
4. Step 4: Simplify right side
   34,584x = 4,917,936,384
5. Step 5: Solve for x
   x = 4,917,936,384/34,584
6. Step 6: Final answer
   x = 142,202.65